Yes. And if you pull the sheet down a little farther in that spot, the curvature won't readjust itself instantaneously across the whole sheet... instead, the increased curvature propagates as a wave outward from the place you pull on, at some measurable rate.
.......like making a wave in the the sheets when you make your bed by injecting a wave of air underneath them. This I knew, but was somehow having a hard time incorporating this into the model.
However, like photons being responsible for the transference of the electromagnetic force, where then are the Gravitons, the particles responsible for this force?